Madrigal is pasteurized whole cow's milk cheese from France, sold under the President brand.
The cheese is semi-hard. It is covered in an amber rind with a straw-color interior, with lots of large holes, or eyes. Madrigal has a sweet, nutty taste. It slices and cubes well, and is often used on sandwiches.
Sometimes you find it called "Madrigal Swiss", but the cheese is made in France, not Switzerland. The term "Swiss" refers to the large holes in the cheese, similar to Swiss Emmental and "Swiss" cheeses made in the United States and Australia. Madrigal's label (at the least the one for import into the United States) calls it "The French Swiss."